what is 2,1 and 4,1 in slope intercept form?

Question

I need this for math homework and I'm super confused!!

Answer 1

Hi Lauren,

 

we can do this in two ways.

 

Method 1

 

If the coordinate of the two points through which a line passes are identical, then the line is a horizontal line that can be expressed as y = a. In our case it is y = 1.

 

Method 2

 

Alternatively we can use the slope-intercept form to develop the equation.

First, calculate the slope, m

m= y2-y1 =  1-1 = 0.....if a line has a zero slope, then it is a horizontal line

       x2-x1    4-1

 

once we calculate the slope we can calculate its y-intercept, b, by substituting the values of x and y of one of the points in the expression y- mx +b. Thus,

 

y =mx+b....lets take the first point

   = 0(2) + 1

   = 0+1

 y = 1

 

 

I hope it helps

A.